Equations — Paper 2 · IGCSE Mathematics - International 0607

5 v = u - f Find v when u = 30 and f = 10. v = … [2]

2 marks

Mark scheme: 5 15 2 B1 for numerator 300 or denominator 20

This question in 0607/23 May/June 2018

5 Solve. 6x - 5 = 19 x = … [2]

2 marks

Mark scheme: 5 4 2 5 19 M1 for 6 x = 19 + 5 or x − = 6 6

This question in 0607/21 Oct/Nov 2018

1 y = mx + c 1 (a) Find y when m = , x = -2 and c = 4. 2 y = … [2] (b) Rearrange the formula to write m in terms of x, y and c. m = … [2]

4 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 3 2 1 M1 for × ( −2 ) + 4 2 1(b) y − c 2 M1 for correct rearrangement to oe final answer isolate the m term x M1 for correct division by x

This question in 0607/23 Oct/Nov 2018

2 Solve. 6 - 2t =-12 t = … [2]

2 marks

Mark scheme: 2 9 2 B1 for correct equation in form ax= b or b = ax

This question in 0607/23 Oct/Nov 2018

4 t = 3p2 (a) Find the value of t when p = 4. t = … [1] (b) Re-arrange the formula to write p in terms of t. p = … [2]

3 marks

Mark scheme: 4(a) 48 1 4(b) t 2 M1 for correct division M1 for correct square root, involving t 3

This question in 0607/22 May/June 2019

8 Magda buys 6 apples and 4 oranges for a total cost of $4.18 . Oranges cost $0.52 each. Find the cost of one apple. $ … [3]

3 marks

Mark scheme: 8 0.35 3 M2 for (4.18 − 4 × 0.52) ÷ 6 or M1 for 4 × 0.52

This question in 0607/22 Oct/Nov 2019

4 Solve. - 3 ( 1 - 4)x = 9 x = … [3]

3 marks

Mark scheme: 4 1 3 M2 for 12 x = 9 + 3 or 4x – 1 = 3 oe or M1 for −+3 12x or −[1](1 − 4 x ) = 3 oe

This question in 0607/21 Oct/Nov 2020

5 v = u + at Find v when u = 5 , a =- 3 and t = 4 . v = … [2]

2 marks

Mark scheme: 5 –7 2 M1 for substitution of u = 5, a = –3 and t = 4 into v = u + at

This question in 0607/22 Oct/Nov 2020

2 Solve the equation. 2x - 7 =- 3 x = … [2]

2 marks

Mark scheme: 2 2 2 M1 for 2x = –3 + 7 or –7 + 3 = –2x or better

This question in 0607/23 Oct/Nov 2020

4 Solve. (a) 5 - 2x = 0 x = … [1] (b) - 12 + 2x = 5x - 3 x = … [2]

3 marks

Mark scheme: 4(a) 2.5 oe 1 4(b) –3 2 M1 for –12 + 3 = 5x – 2x oe or better

This question in 0607/23 Oct/Nov 2021

11 f ( )x = , x ! 2.5 2x - 5 (a) Find f ( 2) . … [1] (b) Solve f ( )x = 5 . … [2]

3 marks

Mark scheme: 11(a) –1 1 11(b) 13 2 1 oe M1 for 2 x − 5 = or 5(2 x − 5) = 1 or 5 5 better

This question in 0607/23 Oct/Nov 2021

6 Solve. (a) 4x = 28 x = … [1] (b) 3 ( a - 6) = 24 a = … [2]

3 marks

Mark scheme: 6(a) 7 1 6(b) 14 2 M1 for a  6  24  3 or 3a  18  24

This question in 0607/21 May/June 2022

3 Solve the equation. x - 11 =- 4 x = … [1]

1 marks

Mark scheme: 3 7 1

This question in 0607/22 May/June 2022

2 Solve the equation. 2q - 7 = 2 - 7q q = … [2]

2 marks

Mark scheme: 2 1 2 M1 for 2q + 7q = 2 + 7 oe

This question in 0607/23 Oct/Nov 2022

9 The total cost of 5 pens and 7 pencils is $6.75 . Each pencil costs $0.45 . Find the cost of one pen. $ … [3]

3 marks

Mark scheme: 9 0.72 3 6.75  their (7  0.45) M2 for oe 5 or M1 for 6.75 7 0.45 oe if 0 scored, SC2 for 72

This question in 0607/23 May/June 2023

3 Solve 7x - 5 = 37. x = … [2]

2 marks

Mark scheme: 3 6 2 M1 for 7 x = 37 + 5

This question in 0607/22 Oct/Nov 2023